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Finding the Fourth Proportional to 30.38, 45.66 and 20.24

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Solution

The fourth proportional to 30.38, 45.66 and 20.24 is: 30.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.38 : 45.66 = 20.24 : x
  2. Step 2: Convert to fraction form
    30.38/45.66 = 20.24/x
  3. Step 3: Cross multiply
    30.38x = 45.66 × 20.24
  4. Step 4: Simplify right side
    30.38x = 924.16
  5. Step 5: Solve for x
    x = 924.16/30.38
  6. Step 6: Final answer
    x = 30.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.